Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
420 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #20299252 | C2 | semidirect |
| 2. #20299003 | C2 | semidirect |
| 3. #20298912 | C2 | semidirect |
| 4. #20298879 | C2 | semidirect |
| 5. #20298834 | C2 | semidirect |
| 6. C4×D904 | C2 | semidirect |
| 7. C2×#16813556 | C2 | semidirect |
| 8. C8×D4×C113 | C2 | semidirect |
| 52. D4×C113 | D8 | semidirect |
| 69. C8×C113 | #41 | semidirect |
| 90. C113 | #3334 | semidirect |
| 97. C8×D4 | D113 | semidirect |
| 146. D4 | D904 | semidirect |
| 159. C8 | #14268646 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299252 | 2 |
| #20299003 | 2 |
| #20298912 | 2 |
| #20298879 | 2 |
| #20298834 | 2 |
| C4×D904 | 2 |
| C2×#16813556 | 2 |
| C8×D4×C113 | 2 |
| #3334 | 113 |